2221123012081 has 2 divisors, whose sum is σ = 2221123012082. Its totient is φ = 2221123012080.

The previous prime is 2221123012057. The next prime is 2221123012103. The reversal of 2221123012081 is 1802103211222.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2193834945600 + 27288066481 = 1481160^2 + 165191^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221123012081 - 2⁷ = 2221123011953 is a prime.

It is a super-2 number, since 2×2221123012081² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2221123010081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110561506040 + 1110561506041.

It is an arithmetic number, because the mean of its divisors is an integer number (1110561506041).

Almost surely, 2^{2221123012081} is an apocalyptic number.

It is an amenable number.

2221123012081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221123012081 is an equidigital number, since it uses as much as digits as its factorization.

2221123012081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 768, while the sum is 25.

The spelling of 2221123012081 in words is "two trillion, two hundred twenty-one billion, one hundred twenty-three million, twelve thousand, eighty-one".